Sentence examples for by solving the formula from inspiring English sources

By solving the formula (12), the natural frequencies and the principal modes of the system are obtained as shown in Table 2.

The expected abundance vector A = { A O), A(O1), A(O2)} can be estimated by solving the formula (4) using the nonnegative least square model: (4) y − = X ∗ A −.

The mutation rate per lineage per year was estimated by solving the formula λ = d/2 T, where d is the genetic distance between C. multilineata and C. atrilobata, and T is the time since divergence between the two species used.

The optimal w and b can be solved by solving the following formula: operatorname{minimize}:mathrm{g}left(mathbf{w},boldsymbol{xi} right)=frac{1}{2}{leftVert mathbf{w}rightVert}^2+Csum limits_{i=1}^N{boldsymbol{xi}}_i (1) mathrm{subject} mathrm{to}:{y}_ileft leftlangle mathbf{w},upphi left({mathbf{x}}_iright)rightrangle +bright ge 1-{boldsymbol{upxi}}_i,kern1em {boldsymbol{upxi}}_ige 0, (2).

Most guidelines advocate to use the difference between the highest sCr value over a certain time span, and a pre admission historical baseline value [ 15, 16] or an estimated sCr value by solving the MDRD formula assuming a GFR of 75 ml/min/1,73 m [ 17– 20].

The obtained non-linear moment vs curvature diagram is used to get the deflection profile of the element by solving the inelastic curve formula v'' = θ(M) governed by a 2nd order differential equation.

By solving the above equation for s, we obtain a formula for the realized selection coefficient: We explored several methods for calculating the power and false-positive rate associated with the detection of QTL by allele frequency differences between populations.

The transport properties of electrons are studied using a quantum-mechanic generalization of a formula that can be obtained by solving the Boltzmann transport equation.

Analytical solution formulas for the variables in equation (11) are obtained by solving the equation for Mb given x t) and R t), then solving the equation for Ms given Mb t) and, finally, using Ms(t) to solve the equation for Mg(t).

In the first phase, we solved the formula (10) by the proposed MCS and FEC selecting algorithm MFSA algorithm that determines which combination of the MCS and AL-FEC was the best solution in terms of minimum resource (time slots) requirements.

This will increase the ease with which you solve the formula.